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Finding the Fourth Proportional to 3,537.07, 4,881 and 1,965.04

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Solution

The fourth proportional to 3,537.07, 4,881 and 1,965.04 is: 2,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.07 : 4,881 = 1,965.04 : x
  2. Step 2: Convert to fraction form
    3,537.07/4,881 = 1,965.04/x
  3. Step 3: Cross multiply
    3,537.07x = 4,881 × 1,965.04
  4. Step 4: Simplify right side
    3,537.07x = 9,591,360.24
  5. Step 5: Solve for x
    x = 9,591,360.24/3,537.07
  6. Step 6: Final answer
    x = 2,711.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.